Model Theory of Groups and Automorphism Groups / Edited by David M. Evans.

Contributor(s): Evans, David M [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 244Publisher: Cambridge : Cambridge University Press, 1997Description: 1 online resource (232 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511629174 (ebook)Other title: Model Theory of Groups & Automorphism GroupsAdditional physical formats: Print version: : No titleDDC classification: 512/.2 LOC classification: QA9.7 | .M636 1997Online resources: Click here to access online Summary: This volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.
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This volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.

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